John D. Cook 2/8/2026

Computing large Fibonacci numbers

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This technical article compares two methods for computing large Fibonacci numbers: an iterative approach using integer arithmetic and Binet's formula using floating-point via the mpmath library. It analyzes the performance trade-offs, showing Binet's formula becomes faster for very large n, and discusses the critical issue of precision guard digits needed for correct results.

Computing large Fibonacci numbers

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